       When the fifth-order WENO-JS scheme is used, the condition
(REF ) may not hold at certain smooth extrema or near critical
points, yielding the third-order accuracy. To overcome this situation
Henrick et al. [1]} introduced a mapping
function \(g_{k}(\omega )\)  as
\(g_{k}(\omega )=\frac{\omega (d_{k}+d_{k}^{2}-3d_{k}\omega +\omega ^{2})}{d_{k}^{2}+\omega (1-2d_{k})},k=0,1,2,\) 
